1401348480 has 256 divisors, whose sum is σ = 5151375360. Its totient is φ = 317399040.

The previous prime is 1401348467. The next prime is 1401348497. The reversal of 1401348480 is 848431041.

1401348480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1706470 + ... + 1707290.

It is an arithmetic number, because the mean of its divisors is an integer number (20122560).

Almost surely, 2^1401348480 is an apocalyptic number.

1401348480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575687680).

1401348480 is an abundant number, since it is smaller than the sum of its proper divisors (3750026880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1401348480 is a wasteful number, since it uses less digits than its factorization.

1401348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1401348480 is about 37434.5893526295. The cubic root of 1401348480 is about 1119.0480005540.

The spelling of 1401348480 in words is "one billion, four hundred one million, three hundred forty-eight thousand, four hundred eighty".